A003050 - cp's OEIS frontend

A003050 Number of primitive sublattices of index n in hexagonal lattice: triples x,y,z from Z/nZ with x+y+z = 0, discarding any triple that can be obtained from another by multiplying by a unit and permuting.

n	a(n)
1	1
2	1
3	2
4	2
5	2
6	3
7	3
8	4
9	3
10	4
11	3
12	6
13	4
14	5
15	6
16	6
17	4
18	7
19	5
20	8
21	8
22	7
23	5
24	12
25	6
26	8
27	7
28	10
29	6
30	14
31	7
32	10
33	10
34	10
35	10
36	14
37	8
38	11
39	12
40	16
41	8
42	18
43	9
44	14
45	14
46	13
47	9
48	20
49	11
50	16
51	14
52	16
53	10
54	19
55	14
56	20
57	16
58	16
59	11
60	28
61	12
62	17
63	18
64	18
65	16
66	26
67	13
68	20
69	18
70	26
71	13
72	28

[1, 1, 2, 2, 2, 3, 3, 4, 3, 4, 3, 6, 4, 5, 6, 6, 4, 7, 5, 8, 8, 7, 5, 12, 6, 8, 7, 10, 6, 14, 7, 10, 10, 10, 10, 14, 8, 11, 12, 16, 8, 18, 9, 14, 14, 13, 9, 20, 11, 16, 14, 16, 10, 19, 14, 20, 16, 16, 11, 28, 12, 17, 18, 18, 16, 26, 13, 20, 18, 26, 13, 28]

cp's OEIS Frontend

A003050 Number of primitive sublattices of index n in hexagonal lattice: triples x,y,z from Z/nZ with x+y+z = 0, discarding any triple that can be obtained from another by multiplying by a unit and permuting.

Table of values

List of values

n	a(n)
1	1
2	1
3	2
4	2
5	2
6	3
7	3
8	4
9	3
10	4
11	3
12	6
13	4
14	5
15	6
16	6
17	4
18	7
19	5
20	8
21	8
22	7
23	5
24	12
25	6
26	8
27	7
28	10
29	6
30	14
31	7
32	10
33	10
34	10
35	10
36	14
37	8
38	11
39	12
40	16
41	8
42	18
43	9
44	14
45	14
46	13
47	9
48	20
49	11
50	16
51	14
52	16
53	10
54	19
55	14
56	20
57	16
58	16
59	11
60	28
61	12
62	17
63	18
64	18
65	16
66	26
67	13
68	20
69	18
70	26
71	13
72	28

n	a(n)
1	1
2	1
3	2
4	2
5	2
6	3
7	3
8	4
9	3
10	4
11	3
12	6
13	4
14	5
15	6
16	6
17	4
18	7
19	5
20	8
21	8
22	7
23	5
24	12
25	6
26	8
27	7
28	10
29	6
30	14
31	7
32	10
33	10
34	10
35	10
36	14
37	8
38	11
39	12
40	16
41	8
42	18
43	9
44	14
45	14
46	13
47	9
48	20
49	11
50	16
51	14
52	16
53	10
54	19
55	14
56	20
57	16
58	16
59	11
60	28
61	12
62	17
63	18
64	18
65	16
66	26
67	13
68	20
69	18
70	26
71	13
72	28

n	a(n)
1	1
2	1
3	2
4	2
5	2
6	3
7	3
8	4
9	3
10	4
11	3
12	6
13	4
14	5
15	6
16	6
17	4
18	7
19	5
20	8
21	8
22	7
23	5
24	12
25	6
26	8
27	7
28	10
29	6
30	14
31	7
32	10
33	10
34	10
35	10
36	14
37	8
38	11
39	12
40	16
41	8
42	18
43	9
44	14
45	14
46	13
47	9
48	20
49	11
50	16
51	14
52	16
53	10
54	19
55	14
56	20
57	16
58	16
59	11
60	28
61	12
62	17
63	18
64	18
65	16
66	26
67	13
68	20
69	18
70	26
71	13
72	28